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math.CO2003
Symmetric products of surfaces and the cycle index
Pavle Blagojevic, Vladimir Grujic, Rade Zivaljevic
We express the signature of the symmetric product of an (open) surface in terms of the cycle index of , a polynomial which or…
math.CO2003
Arrangements of symmetric products of spaces
Pavle Blagojevic, Vladimir Grujic, Rade Zivaljevic
Using the topological technique of diagrams of spaces, we calculate the homology of the union and the complement of finite arrangements of subspaces of the form i…